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Finding the Fourth Proportional to 14,497.16, 21,738.89 and 5,616.65

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Solution

The fourth proportional to 14,497.16, 21,738.89 and 5,616.65 is: 8,422.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,497.16 : 21,738.89 = 5,616.65 : x
  2. Step 2: Convert to fraction form
    14,497.16/21,738.89 = 5,616.65/x
  3. Step 3: Cross multiply
    14,497.16x = 21,738.89 × 5,616.65
  4. Step 4: Simplify right side
    14,497.16x = 122,099,762.78
  5. Step 5: Solve for x
    x = 122,099,762.78/14,497.16
  6. Step 6: Final answer
    x = 8,422.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.